Chugunova, M.; Ruan, Y.; Taranets, R. On qualitative behaviour of solutions to a thin film equation with a source term. (English) Zbl 1462.35163 J. Nonlinear Sci. 31, No. 1, Paper No. 9, 23 p. (2021). MSC: 35K35 35K65 76A20 PDFBibTeX XMLCite \textit{M. Chugunova} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 9, 23 p. (2021; Zbl 1462.35163) Full Text: DOI
Taranets, Roman M. Strong solutions of the thin film equation in spherical geometry. (English) Zbl 1418.35217 Sadovnichiy, Victor A. (ed.) et al., Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. Underst. Complex Syst., 181-192 (2019). MSC: 35K35 PDFBibTeX XMLCite \textit{R. M. Taranets}, in: Modern mathematics and mechanics. Fundamentals, problems and challenges. Cham: Springer. 181--192 (2019; Zbl 1418.35217) Full Text: DOI arXiv
Chugunova, Marina; Taranets, Roman Existence and long-time behaviour of weak solutions for the Mullins equation. (English) Zbl 1258.35112 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6550-6561 (2012). MSC: 35K35 35K65 35D30 35B40 35K59 53C44 PDFBibTeX XMLCite \textit{M. Chugunova} and \textit{R. Taranets}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 18, 6550--6561 (2012; Zbl 1258.35112) Full Text: DOI
Chugunova, Marina; Pugh, M. C.; Taranets, R. M. Nonnegative solutions for a long-wave unstable thin film equation with convection. (English) Zbl 1222.35098 SIAM J. Math. Anal. 42, No. 4, 1826-1853 (2010). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35K35 76A20 35K65 35Q35 35B40 PDFBibTeX XMLCite \textit{M. Chugunova} et al., SIAM J. Math. Anal. 42, No. 4, 1826--1853 (2010; Zbl 1222.35098) Full Text: DOI arXiv
Shishkov, A. E.; Taranets, R. M. On the thin-film equation with nonlinear convection in multidimensional domains. (Russian. English summary) Zbl 1211.35137 Ukr. Mat. Visn. 1, No. 3, 402-444 (2004); translation in Ukr. Math. Bull. 1, No. 3, 407-450 (2004). MSC: 35K35 35K65 35K55 35D99 76A20 76E06 PDFBibTeX XMLCite \textit{A. E. Shishkov} and \textit{R. M. Taranets}, Ukr. Mat. Visn. 1, No. 3, 402--444 (2004; Zbl 1211.35137); translation in Ukr. Math. Bull. 1, No. 3, 407--450 (2004)
Taranets, R. M. Solvability and global behavior of solutions for a thin-film equation with nonlinear diffusion and absorption. (Russian) Zbl 1079.35038 Tr. Inst. Prikl. Mat. Mekh. 7, 192-209 (2002). Reviewer: Andrey E. Shishkov (Donetsk) MSC: 35K35 35K65 76A20 PDFBibTeX XMLCite \textit{R. M. Taranets}, Tr. Inst. Prikl. Mat. Mekh. 7, 192--209 (2002; Zbl 1079.35038)